Pith Number

pith:YGM6IJUO

pith:2012:YGM6IJUOL4BL4DN2D2S2O5HAQ5

not attested not anchored not stored refs pending

The maximum number of minimal codewords in long codes

Adel Alahmadi, Carsten Thomassen, Patrick Sol\'e, R. E. L. Aldred, Romar dela Cruz

arxiv:1201.6043 v2 · 2012-01-29 · cs.IT · math.CO · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGM6IJUOL4BL4DN2D2S2O5HAQ5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:58:38.001646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c199e4268e5f02be0dba1ea5a774e087702d6bba98ebebde940f812c1e6114f7

Aliases

arxiv: 1201.6043 · arxiv_version: 1201.6043v2 · doi: 10.48550/arxiv.1201.6043 · pith_short_12: YGM6IJUOL4BL · pith_short_16: YGM6IJUOL4BL4DN2 · pith_short_8: YGM6IJUO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YGM6IJUOL4BL4DN2D2S2O5HAQ5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c199e4268e5f02be0dba1ea5a774e087702d6bba98ebebde940f812c1e6114f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c7a4b84a593a83296cc427ed821e77987b7ecf524b7215140cf957412514c8c",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-29T15:00:44Z",
    "title_canon_sha256": "8c5e2fe1414836493aab882fd169167f4cf277c459d7267917c3b29629d2ddf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6043",
    "kind": "arxiv",
    "version": 2
  }
}